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Finding the Third Proportional to 53,599.75 and 78,794.50

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Solution

The third proportional to 53,599.75 and 78,794.50 is: 115,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,599.75 : 78,794.50 = 78,794.50 : x
  2. Step 2: Convert to fraction form
    53,599.75/78,794.50 = 78,794.50/x
  3. Step 3: Cross multiply
    53,599.75x = 78,794.50 × 78,794.50
  4. Step 4: Simplify right side
    53,599.75x = 6,208,573,230.25
  5. Step 5: Solve for x
    x = 6,208,573,230.25/53,599.75
  6. Step 6: Final answer
    x = 115,832.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.